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Finding the Fourth Proportional to 205,597.20, 283,567.59 and 176,965.59

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Solution

The fourth proportional to 205,597.20, 283,567.59 and 176,965.59 is: 244,077.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,597.20 : 283,567.59 = 176,965.59 : x
  2. Step 2: Convert to fraction form
    205,597.20/283,567.59 = 176,965.59/x
  3. Step 3: Cross multiply
    205,597.20x = 283,567.59 × 176,965.59
  4. Step 4: Simplify right side
    205,597.20x = 50,181,705,869.23
  5. Step 5: Solve for x
    x = 50,181,705,869.23/205,597.20
  6. Step 6: Final answer
    x = 244,077.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.